Multiple choice

An article's cost price is ₹ 60, a shopkeeper marked its price 20% more. He sold it after allowing two same successive discount percent at ₹ 58.32. By mistake instead of discount he increased the price then what is difference of its selling price? एक वस्तु का क्रय मूल्य ₹ 60 है, एक दुकानदार इसका दाम 20% अधिक अंकित करता हैं | वह इसे दो समान प्रतिशत की क्रमागत छूट देकर ₹ 58.32 रु पर बेचता हैं | यदि गलती से छूट की जगह वह मूल्य में वृद्धि कर दे तो विक्रय मूल्यों का अंतर ज्ञात कीजिये ?

  1. ₹ 32.2

  2. ₹ 30.2

  3. ₹ 28.8

  4. ₹ 29.4
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C Correct answer
Explanation

CP = ₹60. Marked price = 60 × 1.20 = ₹72. Two successive discounts of d% give: 72(1-d/100)² = 58.32. So (1-d/100)² = 58.32/72 = 0.81, giving 1-d/100 = 0.9, so d = 10%. If instead of two 10% discounts, he increases by 10% twice: 72 × 1.10 × 1.10 = 72 × 1.21 = ₹87.12. Difference = 87.12 - 58.32 = ₹28.80.

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